An adiabatic vessel contains 1000 g of liquid aluminum at 717°C. Calculate the mass of Cr203 at room temperature, which, when added to the liquid aluminum (with which it reacts to form Cr and Al203), raises the temperature of the resulting mixture of Al203, Cr203, and Cr to 1662 K. www (0 = 16.0; Al = 27.0; Cr = 52.0 g/atom) Given Thermodynamic data: Table 1. The Constant-Pressure Molar heat Capacities of Various Substances (Cp =a + bT + cT³ J/mole-K) Substances b Range, K a | Al (9) 1.24×10-² 20.67 298 – 934 Al (1) 31.76 934 – 1600 Al½O3 (s) 106.6 1.78×10-2 - 2.85×10 298 – 2325 Cr (9) 24.43 9.87×10-3 - 3.68×10$ 298 – 2180 | CrO3 (s) 119.37 9.30×10-3 - 1.57×10 298 – 2603 Table 2. The Standard Molar heats of Formation of Various Substances at 298 K and Molar Heats of Melting and Transformation Substances AH298, kJ/mol Trans. AHTrans, kJ/mol TTrans, K Al (s) 10.7 934 Al2O3 () - 1675.7 107.5 2325 Cr (9) 21.0 2180 Cr2O3 (s) - 1134.7 129.7 2603

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
icon
Related questions
Question
An adiabatic vessel contains 1000 g of liquid aluminum at 717°C. Calculate the mass of Cr203 at
room temperature, which, when added to the liquid aluminum (with which it reacts to form Cr and
Al203), raises the temperature of the resulting mixture of Al203, Cr203, and Cr to 1662 K.
(0 = 16.0; Al = 27.0; Cr = 52.0 g/atom)
Given Thermodynamic data:
Table 1. The Constant-Pressure Molar heat Capacities of Various Substances
(Cp=a + bT+ cT² J/mole·K)
Substances
b
Range, K
Al (9)
20.67
1.24×10-2
298 – 934
Al (
31.76
934 – 1600
Al½O3 (9)
106.6
1.78×10-2
- 2.85×106
298 – 2325
Cr (s)
24.43
9.87×10-3
- 3.68×10
298 – 2180
CrO3 (9)
119.37
9.30×10-3
- 1.57×106
298 – 2603
Table 2. The Standard Molar heats of Formation of Various Substances at 298 K and Molar Heats
of Melting and Transformation
Substances
AH 298, kJ/mol
Trans.
AHTrans, kJ/mol
TTrans, K
Al (9)
10.7
934
Al½O3 (9)
- 1675.7
107.5
2325
Cr (9)
s →1
21.0
2180
Cr2O3 (s)
– 1134.7
129.7
2603
Transcribed Image Text:An adiabatic vessel contains 1000 g of liquid aluminum at 717°C. Calculate the mass of Cr203 at room temperature, which, when added to the liquid aluminum (with which it reacts to form Cr and Al203), raises the temperature of the resulting mixture of Al203, Cr203, and Cr to 1662 K. (0 = 16.0; Al = 27.0; Cr = 52.0 g/atom) Given Thermodynamic data: Table 1. The Constant-Pressure Molar heat Capacities of Various Substances (Cp=a + bT+ cT² J/mole·K) Substances b Range, K Al (9) 20.67 1.24×10-2 298 – 934 Al ( 31.76 934 – 1600 Al½O3 (9) 106.6 1.78×10-2 - 2.85×106 298 – 2325 Cr (s) 24.43 9.87×10-3 - 3.68×10 298 – 2180 CrO3 (9) 119.37 9.30×10-3 - 1.57×106 298 – 2603 Table 2. The Standard Molar heats of Formation of Various Substances at 298 K and Molar Heats of Melting and Transformation Substances AH 298, kJ/mol Trans. AHTrans, kJ/mol TTrans, K Al (9) 10.7 934 Al½O3 (9) - 1675.7 107.5 2325 Cr (9) s →1 21.0 2180 Cr2O3 (s) – 1134.7 129.7 2603
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Reactive Processes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The